Cubature formulae for Besov classes
Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 259-283

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This paper is devoted to an investigation of optimal cubature formulae for Besov classes of functions with restrictions on the mixed difference. This study is a continuation of papers [1] and [2]. In this paper we find the exact order of the error of the cubature formula using the values of the function at particular points.
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     author = {V. V. Dubinin},
     title = {Cubature formulae for {Besov} classes},
     journal = {Izvestiya. Mathematics },
     pages = {259--283},
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     number = {2},
     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a1/}
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V. V. Dubinin. Cubature formulae for Besov classes. Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 259-283. http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a1/